Finding the Third Proportional to 146,847 and 233,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,847 : 233,398.50 = 233,398.50 : x
2. Step 2: Convert to fraction form
   146,847/233,398.50 = 233,398.50/x
3. Step 3: Cross multiply
   146,847x = 233,398.50 × 233,398.50
4. Step 4: Simplify right side
   146,847x = 54,474,859,802.25
5. Step 5: Solve for x
   x = 54,474,859,802.25/146,847
6. Step 6: Final answer
   x = 370,963.38